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Units and Dimensions ( Adult Numeracy Level 2)

This guide explores the application of units and dimensions in solving calculations relevant to adult numeracy at Level 2. It focuses on the relationship between quantity, units, and dimensions through practical examples, such as distance, speed, area, and pricing. Readers will learn how to calculate the time of a journey using speed and distance, and become familiar with manipulating units to derive the correct answers. This resource aims to enhance problem-solving skills using mathematical concepts in real-life situations.

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Units and Dimensions ( Adult Numeracy Level 2)

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  1. Units and Dimensions(Adult Numeracy Level 2) Using units and Dimensions to help solve calculations

  2. Quantity = Number  [Units] Examples: Distance  4 [miles] Speed  14 [miles/hour] Area  27 [m2] Price of Electric  10.55 [pence/kWh]

  3. How do we calculate the time of a journey, Given the Speed and Distance? If a cyclist has an average Speed = 15 [km/hr] And cycles for a Distance = 10 [km] Time of journey = ?

  4. Consider the Units of the possible answers: Speed  Distance  [km/hr]  [km]  [km(km/hr)]  [km2/hr] Speed  Distance  [km/hr]  [km]  [km/(kmhr)]  [1/hr] Distance  Speed  [km]  [km/hr]  [km(hr/km)]  [hr]

  5. Answer:  Time of journey = Distance/Speed = 10[km]/15[km/hr] = 2/3 [hr] = 40 minutes

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